Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 5 - Continuous Random Variables - Exercises 5.1 - 5.19 - Learning the Mechanics: 5.6d

Answer

3.5

Work Step by Step

$P(2.5 \leq x \leq a) = 0.5$ $P(2.5 \leq x \leq a) = ∫_{2.5}^{a} f(x).dx$ = $∫_{2.5}^{a} \frac{1}{d-c}.dx$ = $∫_{2.5}^{a} \frac{1}{2}.dx$ = 1/2 (a-2.5) Since $P(2.5 \leq x \leq a) = 0.5$ (a-2.5)/2 = 0.5 a-2.5 = 1 a = 2.5 + 1 = 3.5
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